Definitely good to switch over to DSMLink. Definitely try getting the speed density program as well, avoid mass air

I wouldn't attribute the car dying to the turbo, so don't stress about that, which can be costly. Think more along the lines of a fuel pump, electrical wiring.. anything fuel related.

I'm definitely thinking a tune will fix your problem. I see other people have suggested gaping your spark plugs a bit more, that is a good route to follow. Since this only occurs at idle then a proper idle tune should do the tricl, especially if you've bolted anything on recently.

Does this occur when the temperature is in optimum range for the motor? (185-210)

It seems as though you're pretty much stock, so you probably find the OEM replacements somewhere if you want to stay low on cost. I apologize in advance if this is redundant but, check hoses, clamps.. etc.